\( \begin{array}{ll}\text { Comprehension } & \text { Let the function } f \text { be defined in...

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\( \begin{array}{ll}\text { Comprehension } & \text { Let the function } f \text { be defined in }\end{array} \) \( (0,1) \). Two more functions are given as \( g(x)=e^{\mathrm{x}} \) and \( h(x)=\ln |x| \). Let \( f \) be one-one function with range \( (1,2) \) and gof \( f(x) \) is defined then domain of \( f^{-1} \mathrm{og}^{-1}(x) \) is
(a) \( (0,1) \)
(b) \( \left(e, e^{2}\right) \)
(c) \( (\sqrt{e}, e) \)
(d) \( (-\infty, 0) \)
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